Question

What is the solution to the inequality |x-413?

A) -7
B) 1
C) X=-7 or x =-1
D) X=1 or x = 7

Answer 1

The solution to the inequality |x-4|>13 is x > 17 or x < -9. None of the provided options match the correct solution.

Step-by-step explanation:

The question appears to contain an incomplete inequality. However, if we assume that the intended question asks for the solution to the inequality |x-4|>13, then the process to solve it would be to consider the absolute value inequality separately for both positive and negative cases:

1. For the positive case, x-4 > 13, which results in x > 17.
2. For the negative case, -(x-4) > 13 or -x + 4 > 13, which simplifies to x < -9.

The solution to the inequality |x-4|>13 is x > 17 or x < -9. None of the provided options A) -7, B) 1, C) x=-7 or x =-1, D) x=1 or x = 7 correctly represents this answer.